Detecting resonances in conservative maps using evolutionary algorithms

DOI10.1016/J.PHYSLETA.2008.11.035zbMath1227.37008OpenAlexW2100966491MaRDI QIDQ647113

Y. G. Petalas, Michael N. Vrahatis, Tassos C. Bountis, Chris G. Antonopoulos

Publication date: 30 November 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2008.11.035

zbMATH Keywords

integrabilityresonancesevolutionary algorithmsconservative maps

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Simulation of dynamical systems (37M05) Resonance in context of PDEs (35B34) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (4)

An opposition-based chaotic GA/PSO hybrid algorithm and its application in circle detection ⋮ Non-integrability of measure preserving maps via Lie symmetries ⋮ COMPARATIVE STUDY OF VARIATIONAL CHAOS INDICATORS AND ODEs' NUMERICAL INTEGRATORS ⋮ Detection of chaotic behavior in dynamical systems using a method of deformable active contours

Cites Work

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• Algebraic non-integrability of the Cohen map
• An efficient method for locating and computing periodic orbits of nonlinear mappings
• A Mel'nikov vector for \(N\)-dimensional mappings
• Symplectic maps, variational principles, and transport
• Mel’nikov’s Function for Two-Dimensional Mappings
• Structure and Breakdown of Invariant Tori in a 4-D Mapping Model of Accelerator Dynamics
• Time–frequency analysis of the restricted three-body problem: transport and resonance transitions
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